The diagram shows a right angled triangle 15cm 37 degrees

Use The function f(x) is graphed below. the graph of the function to find, f(6).

____ [38]

F(6)=2

That is because the 6 in the brackets means x
If f(x) means f(6) x=6

And if you look at the graph where the 6 on the x axis is and look where the graph meets the value of 6 it is on the value of 2 on the y axis

4 0

4 years ago

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Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was

elena55 [62]

Answer:

18%

Step-by-step explanation:

24-18% is 19.68 which means it took away $4.32.

5 0

3 years ago

PLEASE<br> What is the solution to the equation 4 ( b − 2 ) − 10 = 2b + 6 ?

maxonik [38]

Answer: 12

Step by step explanation:
First simplify both sides of the equation
( 4 )( b ) + ( 4 ) ( - 2 ) + -10 = 2b + 6 (distribute)
4b + -8 + -10 = 2b + 6
(4b) + (-8 + -10 ) = 2b + 6 (combine like terms)
4b + -18 = 2b + 6
4b - 18 = 2b + 6
Then subtract 2b from both sides
4b - 18 - 2b = 2b + 6 - 2b
2b - 18 = 6
After that you add 18 to both sides
2b - 18 + 18 = 6 + 18
2b = 24
2b/2 = 24/2
b = 12

5 0

3 years ago

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.42 before the discount, and

guapka [62]

Answer:

77.30

Step-by-step explanation:

ur welcome

8 0

3 years ago

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A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a populat

eimsori [14]

Answer:

$t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =P(t_{15}>2)=0.0320$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.

Step-by-step explanation:

1) Data given and notation

$\bar X=25$ represent the sample mean

$s=2$ represent the standard deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Confidence =0.95 or 95%

$\alpha=0.05$

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is higher than 24, the system of hypothesis would be:

Null hypothesis: $\mu \leq 24$

Alternative hypothesis: $\mu > 24$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>2)=0.0320$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.

3 0

3 years ago